A197265 - OEIS

A197265

Decimal expansion of least x>0 having sin(3x) = sin(7x)^2.

0, 6, 5, 2, 4, 6, 7, 8, 0, 1, 7, 9, 0, 3, 0, 4, 3, 3, 2, 3, 4, 3, 7, 0, 2, 1, 7, 9, 0, 8, 3, 8, 2, 0, 1, 3, 8, 9, 7, 9, 7, 7, 5, 4, 0, 8, 9, 3, 3, 2, 9, 5, 8, 2, 5, 1, 7, 2, 9, 1, 8, 2, 0, 8, 6, 8, 0, 3, 6, 7, 7, 3, 1, 2, 1, 4, 1, 0, 4, 6, 0, 4, 5, 8, 2, 0, 1

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OFFSET

0,2

COMMENTS

The Mathematica program includes a graph. See A197133 for a guide to least x>0 satisfying sin(b*x)=(sin(c*x))^2 for selected b and c.

LINKS

Table of n, a(n) for n=0..86.

EXAMPLE

x=0.06524678017903043323437021790838201389797754089...

MATHEMATICA

b = 3; c = 7; f[x_] := Sin[x]

t = x /. FindRoot[f[b*x] == f[c*x]^2, {x, .05, .2}, WorkingPrecision -> 100]